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Finding the Third Proportional to 159.94 and 205.74

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Solution

The third proportional to 159.94 and 205.74 is: 264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.94 : 205.74 = 205.74 : x
  2. Step 2: Convert to fraction form
    159.94/205.74 = 205.74/x
  3. Step 3: Cross multiply
    159.94x = 205.74 × 205.74
  4. Step 4: Simplify right side
    159.94x = 42,330.25
  5. Step 5: Solve for x
    x = 42,330.25/159.94
  6. Step 6: Final answer
    x = 264.66

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.